Ethiopian Multiplication


	Ethiopian Multiplication

balthazarus

7-8-2009 11:04 AM

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tags:

mathematics

balthazarus says:

Cool

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7-8-2009 12:11 PM

clip-on-tie

This is sort of off the subject, but if you've never tried Ethiopian cuisine, it's yummmmmmmmmmmy. One of my favorites.

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<div style="margin: 12px 0px; font-family: arial; color: #333333; background: #ffffff; border: solid 4px #e5e5e5; width: 100%; clear: left;"><div class="CM_CTB_Content_Wrap" style="margin: 0px; padding: 0px;background-color: #ffffff;"><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content.clipmarks.com/blog_embed/4d6707b0-087a-4491-9e49-40511bc0fd9b/903A6D63-7735-4F92-A153-72774898F528/" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://threesixty360.wordpress.com/2009/06/09/ethiopian-multiplication/" href="http://threesixty360.wordpress.com/2009/06/09/ethiopian-multiplication/" style="font-size: 11px;">threesixty360.wordpress.com</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://threesixty360.wordpress.com/2009/06/09/ethiopian-multiplication/"><H2><A title="Permanent Link to Ethiopian Multiplication" rel="bookmark" href="http://threesixty360.wordpress.com/2009/06/09/ethiopian-multiplication/" linkindex="93">Ethiopian Multiplication</A></H2></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://threesixty360.wordpress.com/2009/06/09/ethiopian-multiplication/"><div align="center"><img src="http://content8.clipmarks.com/blog_cache/threesixty360.wordpress.com/img/59D106CD-D267-41AD-9FB6-78A3FE2E4DF8" alt="plastic_numbers" /></div></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://threesixty360.wordpress.com/2009/06/09/ethiopian-multiplication/"><P>This method of multiplication is also called Egyptian Multiplication (because it was done in Egypt) and Russian Peasant Multiplication (although the Peasant part might be intended as a bit of a pejorative).</P></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://threesixty360.wordpress.com/2009/06/09/ethiopian-multiplication/"><P>Here’s the basic idea:  Suppose you want to multiply two numbers like 14 and 12.  You could <A href="http://threesixty360.wordpress.com/2007/12/31/three-finger-tricks-for-multiplying/" linkindex="94">use your fingers</A>, of course, but here’s another way:</P></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://threesixty360.wordpress.com/2009/06/09/ethiopian-multiplication/"><P>Start with the two numbers on top.  Halve one, ignoring any remainders or fractions, and double the other, stopping when you get to 1.</P></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://threesixty360.wordpress.com/2009/06/09/ethiopian-multiplication/"><P>14 & 12</P></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://threesixty360.wordpress.com/2009/06/09/ethiopian-multiplication/"><P>7 & 24</P></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://threesixty360.wordpress.com/2009/06/09/ethiopian-multiplication/"><P>3 & 48  [See how I ignored the fact that halving 7 leaves 1 left over?]</P></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://threesixty360.wordpress.com/2009/06/09/ethiopian-multiplication/"><P>1 & 96  &lt;— Stop here.</P></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://threesixty360.wordpress.com/2009/06/09/ethiopian-multiplication/"><P>Now look at the numbers on the right.  Some are across from an even number: in this case, 12 is across from the original 14.  Ignore those, and add the rest.  So we’ll add 24, 48, and 96, which were across from odd numbers, and get 168.  And that’s the product!  Isn’t that cool?</P></blockquote><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content9.clipmarks.com/images/clip-icon.gif" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://www.scientificblogging.com/staring_empty_pages/binary_multiplication_computer_and_ethiopian_way" href="http://www.scientificblogging.com/staring_empty_pages/binary_multiplication_computer_and_ethiopian_way" style="font-size: 11px;">www.scientificblogging.com</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.scientificblogging.com/staring_empty_pages/binary_multiplication_computer_and_ethiopian_way">It’s cool, because it’s binary</blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.scientificblogging.com/staring_empty_pages/binary_multiplication_computer_and_ethiopian_way">essentially how computers do multiplication internally</blockquote></div><div style="margin: 0px 6px 6px 4px;"><table style="font-size: 11px;border-spacing: 0px;padding: 0px;" cellpadding="0" cellspacing="0" width="100%"><tr><td style="background:transparent;border-width:0px;padding:0px;">&nbsp;</td><td align="right" style="background:transparent;border-width:0px;padding:0px;width:107px" width="107"><a href="http://clipmarks.com/share/903A6D63-7735-4F92-A153-72774898F528/blog/" title="blog or email this clip"><img src="http://content6.clipmarks.com/images/c2b-foot.png" border="0" alt="blog it" width="107" height="17" style="border-width:0px;padding:0px;margin:0px;" /></a></td></tr></table></div></div>

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